10412225574912 has 960 divisors, whose sum is σ = 37445151744000. Its totient is φ = 2878468669440.

The previous prime is 10412225574901. The next prime is 10412225574913. The reversal of 10412225574912 is 21947552221401.

10412225574912 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 2 + 2 + 2 + 557 + 4 + 91 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10412225574913) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1763884153 + ... + 1763890055.

It is an arithmetic number, because the mean of its divisors is an integer number (39005366400).

Almost surely, 2^{10412225574912} is an apocalyptic number.

10412225574912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412225574912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18722575872000).

10412225574912 is an abundant number, since it is smaller than the sum of its proper divisors (27032926169088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10412225574912 is an frugal number, since it uses more digits than its factorization.

10412225574912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5989 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 10412225574912 in words is "ten trillion, four hundred twelve billion, two hundred twenty-five million, five hundred seventy-four thousand, nine hundred twelve".